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1030303313 = 13481716453
BaseRepresentation
bin111101011010010…
…010111001010001
32122210200211102222
4331122102321101
54102224201223
6250122550425
734350301514
oct7532227121
92583624388
101030303313
11489641146
12249068415
131355ba240
149ab98d7b
15606ba0c8
hex3d692e51

1030303313 has 8 divisors (see below), whose sum is σ = 1109855208. Its totient is φ = 950793984.

The previous prime is 1030303303. The next prime is 1030303333. The reversal of 1030303313 is 3133030301.

It can be written as a sum of positive squares in 4 ways, for example, as 44782864 + 985520449 = 6692^2 + 31393^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1030303313 - 24 = 1030303297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030303291 and 1030303300.

It is not an unprimeable number, because it can be changed into a prime (1030303303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54395 + ... + 70847.

It is an arithmetic number, because the mean of its divisors is an integer number (138731901).

Almost surely, 21030303313 is an apocalyptic number.

1030303313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030303313 is a deficient number, since it is larger than the sum of its proper divisors (79551895).

1030303313 is a wasteful number, since it uses less digits than its factorization.

1030303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21283.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 1030303313 is about 32098.3381657057. The cubic root of 1030303313 is about 1010.0007558077. Note that the first 3 decimals are identical.

Adding to 1030303313 its reverse (3133030301), we get a palindrome (4163333614).

The spelling of 1030303313 in words is "one billion, thirty million, three hundred three thousand, three hundred thirteen".

Divisors: 1 13 4817 16453 62621 213889 79254101 1030303313